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Finding the Fourth Proportional to 215,866, 297,895.08 and 126,442

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Solution

The fourth proportional to 215,866, 297,895.08 and 126,442 is: 174,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,866 : 297,895.08 = 126,442 : x
  2. Step 2: Convert to fraction form
    215,866/297,895.08 = 126,442/x
  3. Step 3: Cross multiply
    215,866x = 297,895.08 × 126,442
  4. Step 4: Simplify right side
    215,866x = 37,666,449,705.36
  5. Step 5: Solve for x
    x = 37,666,449,705.36/215,866
  6. Step 6: Final answer
    x = 174,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.